Final answer:
To find the single phase power delivered for a 120 MW load on a 3-phase system with a 6.5% transmission loss you must first calculate the total power before loss and then divide by 3 to get the power per phase (42.733 MW per phase).
Step-by-step explanation:
The student is asking for the calculation of the single phase power delivered in a 3-phase transmission line system where the total load is 120 MW at a power factor of 0.9 lagging, with a 6.5% power loss during transmission. Given that the receiving end voltage must be maintained at 39 kV and that the transmission line is considered to be a short transmission line, we first deduce the total power delivered before losses to be 120 MW / (1 - 0.065) = 128.2 MW. Then, to find the single phase power delivered, we divide the total power by 3, as there are three phases, resulting in 128.2 MW / 3 = 42.733 MW per phase.